definite-integral

Related Questions

• $\int_{1}^{e}{\frac{1+\log x}{x}\,dx=}$

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• Let $f(x)$ be a non-negative continous function such that the area bounded by the curve $y=f(x)$, x-axis and the ordinates $x=\frac{\pi }{4}$, $x=\beta >\frac{\pi }{4}$ is $\left( \beta \sin \beta +\frac{\pi }{4}\cos \beta +\sqrt{2}\beta \right)$. Then $f\ \left( \frac{\pi }{2} \right)$ is

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• The volume of the solid formed by rotating the area enclosed between the curve $y={{x}^{2}}$ and the line $y=1$ about $y=1$ is (in cubic units)

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• The value of $\int_{-2}^{2}{(a{{x}^{3}}+bx+c)}$ depends on

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• $\int_{0}^{\pi /2}{\frac{{{\sin }^{3/2}}x\,dx}{{{\cos }^{3/2}}x+{{\sin }^{3/2}}x}}=$

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